Preliminaries to the ergodic theory of infinite-dimensional systems: A model of radiant cavity
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Abstract
We discuss a number of mathematical results that are relevant to the statistical mechanics of a model of radiant cavity in which the electromagnetic field interacts with a nonlinear charged oscillator. In particular, we show that energy equipartition in the sense of Jeans would exclude local exponential instability of orbits; it would also prevent the existence of significant finite invariant measures on a given energy surface. A phase space of infinite total energy is defined, and an invariant measure in it is built, for which different modes of the field are statistically independent.
Key words
Stochasticity infinite systems black bodyPreview
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© Plenum Publishing Corporation 1983